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Popular >

integral of 3x^5

Solution

\int 3 x^{5} d x

Solution

\frac{x ^{6}}{2} + C

Solution steps

\int 3 x^{5} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= 3 \cdot \frac{x ^{6}}{6}

Simplify

3 \cdot \frac{x ^{6}}{6} : \frac{x ^{6}}{2}

= \frac{x ^{6}}{2}

Add a constant to the solution

= \frac{x ^{6}}{2} + C

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\int sin^{3} (x) cos (d) x d x

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integral of (7x^3+4x^2)

\int (7 x^{3} + 4 x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral of 3x^5 ?
The integral of 3x^5 is (x^6)/2+C